How do you solve the following system?: #-2x +11y =5 , 5x -2y = -2# Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Sonnhard Jun 22, 2018 #x=-4/17,y=7/17# Explanation: Multiplying the first equation by #5# and the second by #2# and adding both we get #y=21/51=7/17# so #x=-1/2((85-77)/17)=-4/17# Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve #y=-6x-3# and #y=3# using the substitution method? How do you solve #12y-3x=-1# and #x-4y=1# using the substitution method? Which method do you use to solve the system of equations #y=1/4x-14# and #y=19/8x+7#? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve #x+y=5# and #3x+y=15# using the substitution method? What is the point of intersection of the lines #x+2y=4# and #-x-3y=-7#? See all questions in Systems Using Substitution Impact of this question 1536 views around the world You can reuse this answer Creative Commons License